Finding the Third Proportional to 10,624 and 16,434

Step by Step Solution

1. Step 1: Write the proportion equation
   10,624 : 16,434 = 16,434 : x
2. Step 2: Convert to fraction form
   10,624/16,434 = 16,434/x
3. Step 3: Cross multiply
   10,624x = 16,434 × 16,434
4. Step 4: Simplify right side
   10,624x = 270,076,356
5. Step 5: Solve for x
   x = 270,076,356/10,624
6. Step 6: Final answer
   x = 25,421.34